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Finding the Fourth Proportional to 15,540, 23,310.18 and 3,853.32

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Solution

The fourth proportional to 15,540, 23,310.18 and 3,853.32 is: 5,780.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,540 : 23,310.18 = 3,853.32 : x
  2. Step 2: Convert to fraction form
    15,540/23,310.18 = 3,853.32/x
  3. Step 3: Cross multiply
    15,540x = 23,310.18 × 3,853.32
  4. Step 4: Simplify right side
    15,540x = 89,821,582.80
  5. Step 5: Solve for x
    x = 89,821,582.80/15,540
  6. Step 6: Final answer
    x = 5,780.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.